Abstract: A membrane device/membrane having a flexible membrane section. A first side of the membrane section is exposed to a process medium and a second side has a layer structure, which includes at least a first layer and a second layer. The first layer has a coefficient of thermal expansion, the value of which lies between the values of the coefficients of thermal expansion of the membrane section and the second layer. The second layer, with respect to the process medium or a component of the process medium has a permeability that is lower than the corresponding permeability of the membrane section. A pressure transmitter and a pressure sensor comprising such a membrane device is provided, as well as a use for a membrane device.